Mensuration, Basic Algebra, Basic Geometry - One Line Questions
1.
If x/3 + x/4 = 7, what is the value of x? —
14
2.
What is the value of a³ - b³ if a - b = 2 and ab = 3? —
10
3.
The area of a square is 144 square centimeters. What is the length of its side? —
12 cm
4.
If x = 2, what is the value of (3x² + 2x - 1)? —
21
5.
If x/2 - x/3 = 4, what is the value of x? —
24
6.
The area of a rhombus is 240 sq cm. If one of its diagonals is 20 cm, what is the length of the other diagonal? —
24 cm
7.
What is the volume of a cube with side length 5 cm? —
125 cubic cm
8.
What is the value of 2a + 3b if a = 4 and b = 2? —
14
9.
What is the diameter of a circle if its circumference is 88 cm? (Use π = 22/7) —
28 cm
10.
If 2/3 of a number is 10, what is the number? —
15
11.
A rectangular prism has dimensions 4 cm, 5 cm, and 6 cm. What is its volume? —
120 cubic cm
12.
What is the area of a circle with diameter 14 cm? (Use π = 22/7) —
154 sq cm
13.
A rectangular tank is 10m long, 5m wide, and 2m deep. What is its capacity in cubic meters? —
100 cubic meters
14.
What is the sum of the angles in a quadrilateral? —
360 degrees
15.
A rectangular field is 50 meters long and 40 meters wide. What is its perimeter? —
180 meters
16.
If x:y = 2:3 and y:z = 4:5, what is x:z? —
8:15
17.
The sum of two numbers is 50 and their difference is 10. What are the numbers? —
30 and 20
18.
What is the volume of a sphere with radius 3 cm? (Use π = 22/7) —
792/7 cubic cm
19.
A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π = 3.14) —
282.6 cubic cm
20.
What is the value of (x+y)² - (x-y)²? —
4xy
21.
If x + 5 = 10, what is the value of x? —
5
22.
If a² - b² = 20 and a - b = 4, what is the value of a + b? —
5
23.
If x² - 9 = 0, what are the possible values of x? —
3 and -3
24.
If 4x - 5 = 2x + 7, what is the value of x? —
6
25.
A cone has a height of 12 cm and a slant height of 13 cm. What is its radius? —
5 cm
26.
A chord of a circle is equal to its radius. What is the angle subtended by the chord at the center? —
60 degrees
27.
What is the area of a parallelogram with base 12 cm and height 5 cm? —
60 sq cm
28.
If 2x + 3 = x + 8, what is the value of x? —
5
29.
If 5(x - 2) = 3x + 4, what is the value of x? —
9
30.
In a triangle ABC, if angle A = 60 degrees and angle B = 70 degrees, what is angle C? —
50 degrees
31.
Two angles of a triangle are in the ratio 2:3, and the third angle is 60 degrees. Find the other two angles. —
48 degrees and 72 degrees
32.
A triangle has a base of 10 cm and a height of 8 cm. What is its area? —
80 sq cm
33.
A circle has a radius of 7 cm. What is its circumference? (Use π = 22/7) —
44 cm
34.
A square is inscribed in a circle of radius 7 cm. What is the area of the square? —
98 sq cm
35.
Solve for y: 3y - 7 = 14 —
7
36.
If 3x + 2y = 15 and x - y = 5, what is the value of x? —
7
37.
What is the sum of the interior angles of a hexagon? —
720 degrees
38.
The area of a triangle is 54 sq cm. If its base is 12 cm, what is its height? —
9 cm
39.
If the length of a rectangle is twice its width, and its area is 72 square meters, what is its length? —
12 meters
40.
What is the measure of an exterior angle of an equilateral triangle? —
120 degrees
41.
A rectangular garden is 15 meters long and 10 meters wide. It is surrounded by a path 2 meters wide. What is the area of the path? —
116 sq meters
42.
In a parallelogram ABCD, angle A = 75 degrees. What is the measure of angle B? —
105 degrees
43.
In a right-angled triangle, the hypotenuse is 13 cm and one side is 5 cm. What is the length of the other side? —
12 cm
44.
What is the length of the diagonal of a square with side length 8 cm? —
8√2 cm
45.
The perimeter of a square is 36 cm. What is its area? —
81 sq cm
46.
What is the value of √81 + √144? —
21
47.
The diagonals of a rhombus are 12 cm and 16 cm. What is its area? —
96 sq cm
48.
What is the value of (a+b)(a-b)? —
a² - b²
49.
What is the perimeter of a semicircle with radius r? —
πr + 2r
50.
What is the lateral surface area of a cylinder with radius r and height h? —
2πrh